Hide
Show all
Email this article Hellmann Potential in Spinless Salpeter Equation with Potential Barrier within the Framework of Nikiforov-Uvarov method
Abstract
In this paper, we have solved the spinless Salpeter equation (SSE) with Hellmann potential under the framework of NIkiforov-Uvarov (NU) method. The energy eigenvalues and corresponding wave functions for this system express in terms of the Jacobi polynomial are also obtained. With the help of approximation scheme the potential barrier has been evaluated. The results obtained in this work would have many applications in nuclear physics, chemical physics, atomic and molecular physics, molecular chemistry and other related areas as the results under limiting cases could be used to study the binding energy and interaction of some diatomic molecules. As a guide to interested readers, we have provided numerical data which discuss the energy spectra for this system.
Keywords
Full Text:
PDFReferences
Cheng, L. & Roberts, C. D. (2009) Phys. Rev. Lett. 103, 081601
Hassanabadi, H.; Yazarloo, B. H.; Zarrinkamar, S. & Rajabi, A. A. (2011). Phys. Rev. C 84, 064003.
Lacha, W. & Schoberl, F. F. (2002). Int. J. Mod. Phys. A 17, 2233.
R. Hall, W. Lucha, F. F. Schoberl (1994). Lat. J. Mod. Phys. A. 18. 2657.
Maris, P. & Roberts, C. D. (2003). Int. J. Mod. Phys. E 12, 197.
Maris, P. & Roberts, C. D. (1997). Phys. Rev. C 56, 3369.
R. Hall, W. Lucha, F. F. Schoberl, (2003). Int J. Mod Phys. A 18, 2657.
Hall, R. & Lucha, W. (2007). Int J. Mod. Phys. A22, 1899.
Wick, G. C. (1954). Phys. Rev. 96, 1124.
Salpeter, E. E.; Bethe, H. A. (1985). Phys. Rev 84, 1232.
Hassanabadi, S.; Ghominejad, M.; Zarrinkamar, S. & Hassanabadi, H. (2013) Chin Phys. B22 060303.
Koucha, W.; Schoberl, F. F. & Gromes, D. (1991). Phys. Rep. 200, 127.
Hassanabadi, H.; Zarrinkamar, S, & Yazarloo, B. H. (2012). Chin. J. Physics. 50, 783.
Zarrinkamar, S.; Rajabi, A. A. & Hassabadi, H. (2012). Few-Body Syst 52, 165.
A. N. Ikot, C. N. Isonguyo, Y. E. Chad-Umoren, and H. Hassanabadi . Acta Physica Polonica A 127(3), 674 (2015).
Hellmann, H. & Kassatotchkin (1936). J. Chem. Phys. 4, 324.
Gembas, P. (1949). Theoric des Atoms and ihre Anwendungen, springer, Berlin p. 304
J. Callaway, (1958). Phys. Rev. 112, 322.
V. K. Gryaznov, (1980). Zh. Eksp. Teor. Fiz. 78, 573.
V. A. Aleksever, V. E. Fortor, and I. I. Yakubov, Usp. FIR Nauk 139 (1983) 193, [Sov. Phys. – USP 26 (1983) 99].
R. Dutt, U. Mukherji, and Y. P. Varshni, Phys. Rev. A 34 (1986) 777.
I. Nassery and M. S. and Abdelmonem, Phys. Scr. 83 (2011) 055004
Tezcan, C. & Sever, R. (2009). Int. J. Theor. Phys. A15, 2345
A. F. Nikiforov and V. B. Uvarov (1988). Special Functions of Mathematical Physics( Birkhauser, Basel).
R. L. Greene and C. Aldrich. Phys. Rev. A 14, 2363 (1976).
H. Yukawa. Proc. Phys. Math. Soc. Japan 17, 48 (1935).
DOI: http://dx.doi.org/10.17951/aaa.2016.71.53
Date of publication: 2017-02-23 09:57:46
Date of submission: 2016-04-20 14:04:52
Statistics
Indicators
Refbacks
- There are currently no refbacks.
Copyright (c) 2017 Akaninyene Daniel Antia
This work is licensed under a Creative Commons Attribution 4.0 International License.